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Finding the Fourth Proportional to 9,505.12, 14,257.44 and 2,579.44

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Solution

The fourth proportional to 9,505.12, 14,257.44 and 2,579.44 is: 3,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.12 : 14,257.44 = 2,579.44 : x
  2. Step 2: Convert to fraction form
    9,505.12/14,257.44 = 2,579.44/x
  3. Step 3: Cross multiply
    9,505.12x = 14,257.44 × 2,579.44
  4. Step 4: Simplify right side
    9,505.12x = 36,776,211.03
  5. Step 5: Solve for x
    x = 36,776,211.03/9,505.12
  6. Step 6: Final answer
    x = 3,869.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.